almost certain that when you send a ban appeal they just look at your ban history and decide whether you should be banned or unbanned. I got falsely banned before WHEN I WAS OFFLINE and I sent 4 tickets and they said my ban won't be lifted, I sent a 5th ticket saying that I will buy gralat packs when I'm unbanned and my ban was lifted.
In early 2014, I was defending Sardon's and apparently I triggered a boost alert and some admin literally popped up and said "i thought u were boosting", I didn't get warned or banned but it annoys me that admins can be that inexperienced